OTTAWA—The federal agency charged with preventing the flow of money to organized crime and terrorists had an encrypted laptop, hard copy reports and an unencrypted USB memory stick stolen in October, exposing the personal information of patrons to two Alberta casinos, including how much money they gambled.

The theft of information from the Financial Transactions and Reports Analysis Centre of Canada (FINTRAC) is a first for the agency, which has detailed privacy regulations built into the legislation guiding its operations.